Membrane-in-the-middle optomechanical system and structural frequencies

• URL: http://arxiv.org/abs/2312.09127v2
• Date: Fri, 6 Sep 2024 22:59:34 GMT
• Title: Membrane-in-the-middle optomechanical system and structural frequencies
• Authors: Luis Pedro Lara, Ricardo Weder, Luis Octavio Castaños-Cervantes,
• Abstract summary: We present a sequence of exact cavity angular frequencies that we call structural angular frequencies. The case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call structural angular frequencies and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution.

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